Question

In Exercises 1–5 find the output of the given circuit.

Short answer

The output of the circuit is\({\bf{(x + y + z) + (}}\overline {\bf{x}} {\bf{ + y + z) + (}}\overline {\bf{x}} {\bf{ + }}\overline {\bf{y}} {\bf{ + }}\overline {\bf{z}} {\bf{)}}\).

Step-by-step solution

Defining of gates.

There are three types of gates.

It is also called NOT gate.

Find the output.

For the result it can check by diagram.

Here 1, 6, 7, 8 are OR gates and 2, 3, 4, 5 are NOT gates.

Therefore, the output of the circuit is \({\bf{(x + y + z) + (}}\overline {\bf{x}} {\bf{ + y + z) + (}}\overline {\bf{x}} {\bf{ + }}\overline {\bf{y}} {\bf{ + }}\overline {\bf{z}} {\bf{)}}\).